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@ -7,7 +7,7 @@ namespace CGAL {
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\cgalAutoToc
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\cgalAutoToc
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\authors Shahar Shamai and Efi Fogel
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\authors Shahar Shamai and Efi Fogel
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\section sms_sec_intro Introduction
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\section sms_2_sec_intro Introduction
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<em>Movable Separability of Sets</em> \cgalCite{t-mss-85} is a class
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<em>Movable Separability of Sets</em> \cgalCite{t-mss-85} is a class
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of problems that deal with moving sets of objects, such as polygons in
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of problems that deal with moving sets of objects, such as polygons in
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@ -37,12 +37,12 @@ problems related to 2D castings. In particular, each of these
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solutions handles a single moving polygon and a single stationary
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solutions handles a single moving polygon and a single stationary
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polygon, and considers a single translation of the moving polygon.
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polygon, and considers a single translation of the moving polygon.
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\section sms_sec_casting Casting
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\section sms_2_sec_casting Casting
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Casting is a manufacturing process where liquid material is poured
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Casting is a manufacturing process where liquid material is poured
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into a cavity inside a mold, which has the shape of a desired
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into a cavity inside a mold, which has the shape of a desired
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product (The mold can take any shape and form as long as it has a
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product. (The mold can take any shape and form as long as it has a
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cavity of the desired shape). After the material solidifies, the
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cavity of the desired shape.) After the material solidifies, the
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product is pulled out of the mold. Typically a mold is used to
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product is pulled out of the mold. Typically a mold is used to
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manufacture numerous copies of a product. The challenge is designing a
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manufacture numerous copies of a product. The challenge is designing a
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proper mold, such that the solidified product can be separated from
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proper mold, such that the solidified product can be separated from
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@ -54,7 +54,7 @@ that, given a simple closed polygon \f$P\f$, determines whether a
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cavity (of a mold in the plane) that has the shape of \f$P\f$ can be
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cavity (of a mold in the plane) that has the shape of \f$P\f$ can be
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used so that the polygon \f$P\f$ could be pulled out of the mold
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used so that the polygon \f$P\f$ could be pulled out of the mold
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without colliding into the mold (but possibly sliding along the mold
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without colliding into the mold (but possibly sliding along the mold
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surface); see \cgalFigureRef{sms_2_fig_polygons} for an
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boundary); see \cgalFigureRef{sms_2_fig_polygons} for an
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illustration. In reality, the mold of a <em>castable</em> polygon must
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illustration. In reality, the mold of a <em>castable</em> polygon must
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be rotated before the polygon is casted, such that one edge becomes
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be rotated before the polygon is casted, such that one edge becomes
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parallel to the \f$x\f$-axis and is located above all other edges;
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parallel to the \f$x\f$-axis and is located above all other edges;
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